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Finding the Fourth Proportional to 7,134.13, 9,841.14 and 4,149.64

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Solution

The fourth proportional to 7,134.13, 9,841.14 and 4,149.64 is: 5,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.13 : 9,841.14 = 4,149.64 : x
  2. Step 2: Convert to fraction form
    7,134.13/9,841.14 = 4,149.64/x
  3. Step 3: Cross multiply
    7,134.13x = 9,841.14 × 4,149.64
  4. Step 4: Simplify right side
    7,134.13x = 40,837,188.19
  5. Step 5: Solve for x
    x = 40,837,188.19/7,134.13
  6. Step 6: Final answer
    x = 5,724.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.